1531480836096 has 576 divisors, whose sum is σ = 4826903477760. Its totient is φ = 484446044160.

The previous prime is 1531480836059. The next prime is 1531480836101. The reversal of 1531480836096 is 6906380841351.

1531480836096 is a `hidden beast` number, since 1 + 53 + 148 + 0 + 8 + 360 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817661016 + ... + 817662888.

It is an arithmetic number, because the mean of its divisors is an integer number (8380040760).

Almost surely, 2^{1531480836096} is an apocalyptic number.

1531480836096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1531480836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413451738880).

1531480836096 is an abundant number, since it is smaller than the sum of its proper divisors (3295422641664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1531480836096 is an equidigital number, since it uses as much as digits as its factorization.

1531480836096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1531480836096 in words is "one trillion, five hundred thirty-one billion, four hundred eighty million, eight hundred thirty-six thousand, ninety-six".